What is 98/74 Divided By 7/9

Solving $\frac{98}{74}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{74} \div \frac{7}{9} = \frac{98}{74} \times \frac{9}{7}$

• Multiply the Numerators: $98 \times 9 = 882$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{98}{74} \times \frac{7}{9} = \frac{882}{518}$

Let's Simplify $\frac{882}{518}$

• Find the Greatest Common Divisor (GCD) of $882$ and $518$. The GCD of $882$ and $518$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{882 \div 14}{518 \div 14} = \frac{63}{37}$

Answer $\frac{98}{74}\div\frac{7}{9} = \frac{63}{37}$

The following animation demonstrates the divide-by,